What is 28/70 Divided By 7/5

Solving $\frac{28}{70}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{70} \div \frac{7}{5} = \frac{28}{70} \times \frac{5}{7}$

• Multiply the Numerators: $28 \times 5 = 140$
• Multiply the Denominators: $70 \times 7 = 490$
• Form the New Fraction: $\frac{28}{70} \times \frac{7}{5} = \frac{140}{490}$

Let's Simplify $\frac{140}{490}$

• Find the Greatest Common Divisor (GCD) of $140$ and $490$. The GCD of $140$ and $490$ is $70$.
• Divide both the numerator and the denominator by the GCD:$\frac{140 \div 70}{490 \div 70} = \frac{2}{7}$

Answer $\frac{28}{70}\div\frac{7}{5} = \frac{2}{7}$

The following animation demonstrates the divide-by,